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A Controlled Vortex Without Singularity — A New Approach to Vector Fields

Introduction
Vector fields with vortex-like structures are at the heart of many physical phenomena — from tornadoes to spiral galaxies. But traditional formulations often come with singularities at the center (like
1𝑟r1 -type behavior) or are difficult to control and animate smoothly.

What if we could define a vortex that's smooth at the origin, tunable, and visually striking — with no singularities and full control over intensity and twist?

Image description

🔍 Conclusion
This simple yet powerful formula unlocks elegant behavior in 2D vector fields:

No singularity

Tunable twist and strength

Visually expressive and physically meaningful

If you're building physics simulations, educational visualizations, or creative mathematical animations — this could be a solid building block.

📂 Source Code
Code and animation available on GitHub:

https://github.com/andysay1/The-Leonov-Vortex

❤️ Like this idea?
I'm exploring more vortex-based systems, AI-driven geometry, and symbolic physics.
Follow for updates or contribute ideas!

🧠 Andrei Leonov

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